Question

The maximum and minimum magnitudes of the resultant of vectors A and B are in the ratio of 3:1. The value of A will be, a) AB = 1. b) A=B c) A = 2B d) A = 3B

please give valid explanation of answer​

Answer 1

(A+B) max= A+B

(A+B) min =A-B

THEREFORE,

>>A+B/A -B = 3

>> A+B= 3A-3 B

>>4B= 2A

>> A= 2B

so here, option (c) A= 2B is correct.